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Finding the Fourth Proportional to 38,075, 52,543.68 and 21,308

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Solution

The fourth proportional to 38,075, 52,543.68 and 21,308 is: 29,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075 : 52,543.68 = 21,308 : x
  2. Step 2: Convert to fraction form
    38,075/52,543.68 = 21,308/x
  3. Step 3: Cross multiply
    38,075x = 52,543.68 × 21,308
  4. Step 4: Simplify right side
    38,075x = 1,119,600,733.44
  5. Step 5: Solve for x
    x = 1,119,600,733.44/38,075
  6. Step 6: Final answer
    x = 29,405.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.